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Finding the Third Proportional to 131,020 and 307,978

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Solution

The third proportional to 131,020 and 307,978 is: 723,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,020 : 307,978 = 307,978 : x
  2. Step 2: Convert to fraction form
    131,020/307,978 = 307,978/x
  3. Step 3: Cross multiply
    131,020x = 307,978 × 307,978
  4. Step 4: Simplify right side
    131,020x = 94,850,448,484
  5. Step 5: Solve for x
    x = 94,850,448,484/131,020
  6. Step 6: Final answer
    x = 723,938.70

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.